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Manuscript Title: Ginzburg-Landau fluxoids. See erratum Comp. Phys. Commun. 1(1970)291.
Authors: U. Kammerer
Program title: GINZBURG-LANDAU-FLUXOIDS
Catalogue identifier: ACKA_v1_0
Distribution format: gz
Journal reference: Comput. Phys. Commun. 1(1969)10
Programming language: Algol.
Computer: TELEFUNKEN TR4.
Operating system: MV 11.
RAM: 4K words
Word size: 52
Keywords: Solid state physics, Ginzburg-landau theory, Fluxoids, Finite difference method, Superconductors.
Classification: 7.7.

Nature of problem:
The Ginzburg-Landau-equations are solved for a straight single fluxoid containing an (integer) number q of flux quanta, starting from an approximate solution which has to be submitted by the user if q > 1.

Solution method:
An iteration procedure is applied based on successive linearizations of the Ginzburg-Landau-equations. In each iteration step, the system of linearized differential equations is solved by a finite-difference- technique with small intervals near the core and big intervals far outside. The line-energy of the fluxoid is calculated.

Running time:
If one takes about one hundred lattice points ranging from a radial distance r=0 to about r=7 (reduced units of the Ginzburg-Landau-theory), and if an absolute error of the modulus of the order parameter and of the magnetic field of less than 10**-3 is required, typical running times on the Telefunken TR4 are about 3 minutes, including compilation time (about 1 minute).